cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A370087 Expansion of e.g.f. exp( Sum_{k>=1} (3*k)!/k! * (x/6)^k/k ).

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%I A370087 #8 Feb 09 2024 01:45:25
%S A370087 1,1,11,591,95001,34158801,23091398451,26242572454911,
%T A370087 46391926016144241,120482101765570623201,439905589366043539453851,
%U A370087 2180755271892747703236167151,14267395360715456605222995351561,120323721300147111590970495558478641
%N A370087 Expansion of e.g.f. exp( Sum_{k>=1} (3*k)!/k! * (x/6)^k/k ).
%F A370087 a(0) = 1; a(n) = (1/n) * Sum_{k=1..n} (3*k)!/6^k * binomial(n,k) * a(n-k).
%o A370087 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=1, N, (3*k)!/k!*(x/6)^k/k))))
%Y A370087 Cf. A014606, A370085.
%K A370087 nonn
%O A370087 0,3
%A A370087 _Seiichi Manyama_, Feb 08 2024